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Decimal expansion of (5+sqrt(65))/8.
2

%I #9 May 18 2026 20:57:30

%S 1,6,3,2,7,8,2,2,1,8,5,3,7,3,1,8,7,0,6,5,4,5,8,2,6,6,5,3,7,8,7,9,7,1,

%T 3,9,1,3,9,1,7,9,9,5,3,8,2,0,1,0,7,1,6,7,3,4,9,2,0,7,4,0,4,8,6,5,7,9,

%U 8,4,3,6,8,8,7,8,2,1,1,0,2,5,3,7,0,0,1,9,2,8,3,3,3,9,6,5,3,8,3,0,4,5,4,6,8

%N Decimal expansion of (5+sqrt(65))/8.

%C Continued fraction expansion of (5+sqrt(65))/8 is A177706.

%H <a href="/index/Al#algebraic_02">Index entries for algebraic numbers, degree 2</a>.

%e 1.63278221853731870654582665378797139139179953820107...

%t RealDigits[(5 + Sqrt[65])/8, 10, 120][[1]] (* _Amiram Eldar_, Mar 22 2026 *)

%o (PARI) (5+sqrt(65))/8 \\ _Charles R Greathouse IV_, May 18 2026

%Y Cf. A010517 (decimal expansion of sqrt(65)), A177706 (repeat 1, 1, 1, 1, 2).

%K cons,nonn

%O 1,2

%A _Klaus Brockhaus_, May 11 2010